Prog. Theor. Phys. Vol. 114 No. 2 (2005) pp. 509-514

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Letters

Adiabatic Radiation Reaction to Orbits in Kerr Spacetime

Norichika Sago,¹ Takahiro Tanaka,² Wataru Hikida³ and Hiroyuki Nakano⁴

¹Department of Earth and Space Science, Graduate School of Science, Osaka University, Toyonaka 560-0043, Japan
²Department of Physics, Graduate School of Science, Kyoto University, Kyoto 606-8502, Japan
³Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
⁴Department of Mathematics and Physics, Graduate School of Science, Osaka City University, Osaka 558-8585, Japan

(Received May 2, 2005)

Abstract:

The geodesic motion of a point particle in Kerr geometry has three constants of motion, the energy E, the azimuthal angular momentum L, and the Carter constant Q. Under the adiabatic approximation, the radiation reaction effect is characterized by the time evolution of these constants. In this paper, we show that the scheme for evaluating them can be greatly simplified.

URL : http://ptp.ipap.jp/link?PTP/114/509/
DOI : 10.1143/PTP.114.509

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Citing Article(s) :

Progress of Theoretical Physics Vol. 115 No. 5 (2006) pp. 873-907 :
Adiabatic Evolution of Orbital Parameters in Kerr Spacetime

Norichika Sago, Takahiro Tanaka, Wataru Hikida, Katsuhiko Ganz and Hiroyuki Nakano
Progress of Theoretical Physics Vol. 117 No. 6 (2007) pp. 1041-1066 :
Adiabatic Evolution of Three `Constants' of Motion for Greatly Inclined Orbits in Kerr Spacetime

Katsuhiko Ganz, Wataru Hikida, Hiroyuki Nakano, Norichika Sago and Takahiro Tanaka
Progress of Theoretical Physics Vol. 121 No. 4 (2009) pp. 843-874 :
An Efficient Numerical Method for Computing Gravitational Waves Induced by a Particle Moving on Eccentric Inclined Orbits around a Kerr Black Hole

Ryuichi Fujita, Wataru Hikida and Hideyuki Tagoshi
Progress of Theoretical Physics Supplement No.163 (2006) pp. 120-145 :
Gravitational Radiation Reaction

Takahiro Tanaka